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4^13 - 4^12

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Carcass
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4^13 - 4^12 [#permalink] New post   22 May 2017, 01:56
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Question Stats:

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\(\frac{4^{13} - 4^{12}}{4^{11}}\)

A) 0

B) 1

C) 4

D) 12

E) 16
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Official Answer
D
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GreenlightTestPrep
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Re: 4^13 - 4^12 [#permalink] New post   22 May 2017, 08:28
1
Carcass wrote:



\(\frac{4^{13} - 4^{12}}{4^{11}}\)

A) 0

B) 1

C) 4

D) 12

E) 16


We can use the fact that (a - b)/c = a/c + b/c

So, (4^13 - 4^12)/(4^11) = (4^13)/(4^11) - (4^12)/(4^11)
= 4^2 - 4^1 [after applying the rules for dividing powers]
= 16 - 4
= 12

Answer: D

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Re: 4^13 - 4^12 [#permalink] New post   05 Feb 2019, 05:44
1
(4^13/4^11)-(4^12/4^11)
16-4=12

Answer= D
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Re: 4^13 - 4^12 [#permalink] New post   30 Sep 2019, 03:38
2
There are two important "tricks" in this quesiton.

1) You have to use the rule for "distributing a factor" (or whatever is called).

2) You have to realize that the difference between 4^13 and 4^11 is two times 4.

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4^13 - 4^12 [#permalink] New post   08 Mar 2024, 22:24
1
\(\frac{4^{13}-4^{12}}{4^{11}} = \frac{4^{12}(4-1)}{4^{11}} = \frac{4^{12} \times 3}{4^{11}} = 4 \times 3 = 12\)

The answer is D
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